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A238708 Number of strict partitions of n that include a pair of consecutive integers. 3
0, 0, 0, 1, 0, 1, 1, 2, 2, 3, 4, 5, 6, 8, 10, 13, 15, 19, 23, 28, 33, 41, 48, 58, 68, 81, 95, 113, 131, 154, 179, 209, 241, 281, 323, 374, 429, 494, 565, 649, 739, 845, 961, 1095, 1241, 1411, 1595, 1807, 2039, 2303, 2593, 2923, 3283, 3691, 4139, 4643, 5195 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

Column 2 of the array at A238709.

Column k=1 of A238354. - Alois P. Heinz, May 02 2014

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

EXAMPLE

a(10) = 4 counts these partitions: 721, 541, 532, 4321.

MATHEMATICA

PartitionsQ[Range[50]] - Table[Count[IntegerPartitions[n], p_ /; Min[p] >= Length[p]], {n, 50}]

CROSSREFS

Cf. A238709, A000009, A238354.

Sequence in context: A017979 A140881 A316081 * A266751 A063827 A241651

Adjacent sequences:  A238705 A238706 A238707 * A238709 A238710 A238711

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Mar 03 2014

STATUS

approved

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Last modified October 21 18:36 EDT 2021. Contains 348155 sequences. (Running on oeis4.)